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Finding the Third Proportional to 660,748 and 1,050,198

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Solution

The third proportional to 660,748 and 1,050,198 is: 1,669,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,748 : 1,050,198 = 1,050,198 : x
  2. Step 2: Convert to fraction form
    660,748/1,050,198 = 1,050,198/x
  3. Step 3: Cross multiply
    660,748x = 1,050,198 × 1,050,198
  4. Step 4: Simplify right side
    660,748x = 1,102,915,839,204
  5. Step 5: Solve for x
    x = 1,102,915,839,204/660,748
  6. Step 6: Final answer
    x = 1,669,192.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.